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Prove:

Proof. By definition

Applying the law for complex numbers that states

we get

Now using the law that states

|z_{1}, z_{2}, ... ,z_{n} | = |z_{1}||z_{2}| ..... |z_{n}|

we get

From 2) and 3) we have

As n , this yields a corresponding inequality for the integrals that are the limits of the respective sums:

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